Stability analysis of set trajectories for families of impulsive equations |
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Authors: | A A Martynyuk |
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Institution: | S.P. Timoshenko Institute of Mechanics NAS of Ukraine , Kiev, Ukraine. |
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Abstract: | In this paper, for a family of impulsive equations, a heterogeneous matrix-valued Lyapunov-like function is considered, the comparison principle is formulated, and stability conditions for the set of stationary solutions are established. In addition, for a class of impulsive equations with uncertain parameters the monotone iterative technique for constructing a set of solutions is adapted. |
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Keywords: | Family of impulsive equations stability comparison principle monotone iterative technique |
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